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Finding the Fourth Proportional to 564,234.22, 778,657.55 and 309,585.34

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Solution

The fourth proportional to 564,234.22, 778,657.55 and 309,585.34 is: 427,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,234.22 : 778,657.55 = 309,585.34 : x
  2. Step 2: Convert to fraction form
    564,234.22/778,657.55 = 309,585.34/x
  3. Step 3: Cross multiply
    564,234.22x = 778,657.55 × 309,585.34
  4. Step 4: Simplify right side
    564,234.22x = 241,060,960,812.39
  5. Step 5: Solve for x
    x = 241,060,960,812.39/564,234.22
  6. Step 6: Final answer
    x = 427,235.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.